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sector
A part of a circle (the area) bounded by an arc and a chord is termed a circular segment. A link can be found below.
It is a sector of the circle
The segment is called a secant.The area bounded by a secant and its arc is a sector.
I always called it an arc. It is simply a section of the circle. The ends are determined by the two radii you referenced. Each of the radii start at the center of the circle and end at their intersection with the circle. The portion of the circle that lies between the ends of the two radii is an arc.